256806 has 24 divisors (see below), whose sum is σ = 607464. Its totient is φ = 77760.

The previous prime is 256801. The next prime is 256813. The reversal of 256806 is 608652.

It is a self number, because there is not a number n which added to its sum of digits gives 256806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256806.

It is not an unprimeable number, because it can be changed into a prime (256801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (25311).

2²⁵⁶⁸⁰⁶ is an apocalyptic number.

256806 is an abundant number, since it is smaller than the sum of its proper divisors (350658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256806 is a wasteful number, since it uses less digits than its factorization.

256806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 256806 is about 506.7602983660. The cubic root of 256806 is about 63.5626100392.

The spelling of 256806 in words is "two hundred fifty-six thousand, eight hundred six".